Finite Group Databasebeta

← Group #13175115

Character table — Group #13175115

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248C249C250C251C252
size111122222222444444444444466661212121212121212121218183611112222222244444444444446666121212121212121212121818361111222222224444444444444666612121212121212121212181836111122222222444444444444466661212121212121212121218183611112222222244444444444446666121212121212121212121818361111222222224444444444444666612121212121212121212181836
order12223366666623666666666664444246612121212121244436663366666663666666666661212121261266121212121212121212366633666666636666666666612121212612661212121212121212122222666666662666666666666444424661212121212124446666666666666666666666666121212126126612121212121212121266666666666666666666666661212121261266121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-11-1-11111-1-1-1-1-1111111111111111111111111111-1-1-11-1-11111-1-1-1-1-1111111111111111111111111111-1-1-11-1-11111-1-1-1-1-1111111111111111111111111111-1-1-11-1-11111-1-1-1-1-1111111111111111111111111111-1-1-11-1-11111-1-1-1-1-1111111111111111111111111111-1-1-11-1-11111-1-1-1-1-1
χ31111111111111111111111111-1-1111-111-1-1-1-111-1-1-11111111111111111111111111-1-1111-111-1-1-1-111-1-1-11111111111111111111111111-1-1111-111-1-1-1-111-1-1-11111111111111111111111111-1-1111-111-1-1-1-111-1-1-11111111111111111111111111-1-1111-111-1-1-1-111-1-1-11111111111111111111111111-1-1111-111-1-1-1-111-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111-11-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1
χ6111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11
χ7111111111111-11-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-11
χ8111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-111-1
χ922222-12-1-122-12-122-1-1-1-1-1-1-1-1-1002220-1-10000-1-100022222-12-1-122-12-122-1-1-1-1-1-1-1-1-1002220-1-10000-1-100022222-12-1-122-12-122-1-1-1-1-1-1-1-1-1002220-1-10000-1-100022222-12-1-122-12-122-1-1-1-1-1-1-1-1-1002220-1-10000-1-100022222-12-1-122-12-122-1-1-1-1-1-1-1-1-1002220-1-10000-1-100022222-12-1-122-12-122-1-1-1-1-1-1-1-1-1002220-1-10000-1-1000
χ1022222-12-1-122-12-122-1-1-1-1-1-1-1-1-100-2-2-201100001100022222-12-1-122-12-122-1-1-1-1-1-1-1-1-100-2-2-201100001100022222-12-1-122-12-122-1-1-1-1-1-1-1-1-100-2-2-201100001100022222-12-1-122-12-122-1-1-1-1-1-1-1-1-100-2-2-201100001100022222-12-1-122-12-122-1-1-1-1-1-1-1-1-100-2-2-201100001100022222-12-1-122-12-122-1-1-1-1-1-1-1-1-100-2-2-2011000011000
χ1122222-12-1-122-1-2-1-2-211-1-1-111110022-20110000-1-100022222-12-1-122-1-2-1-2-211-1-1-111110022-20110000-1-100022222-12-1-122-1-2-1-2-211-1-1-111110022-20110000-1-100022222-12-1-122-1-2-1-2-211-1-1-111110022-20110000-1-100022222-12-1-122-1-2-1-2-211-1-1-111110022-20110000-1-100022222-12-1-122-1-2-1-2-211-1-1-111110022-20110000-1-1000
χ1222222-12-1-122-1-2-1-2-211-1-1-1111100-2-220-1-100001100022222-12-1-122-1-2-1-2-211-1-1-1111100-2-220-1-100001100022222-12-1-122-1-2-1-2-211-1-1-1111100-2-220-1-100001100022222-12-1-122-1-2-1-2-211-1-1-1111100-2-220-1-100001100022222-12-1-122-1-2-1-2-211-1-1-1111100-2-220-1-100001100022222-12-1-122-1-2-1-2-211-1-1-1111100-2-220-1-1000011000
χ132222-12-122-1-122-1-1-122-1-1-1-1-1-1-122000200-1-1-1-1000002222-12-122-1-122-1-1-122-1-1-1-1-1-1-122000200-1-1-1-1000002222-12-122-1-122-1-1-122-1-1-1-1-1-1-122000200-1-1-1-1000002222-12-122-1-122-1-1-122-1-1-1-1-1-1-122000200-1-1-1-1000002222-12-122-1-122-1-1-122-1-1-1-1-1-1-122000200-1-1-1-1000002222-12-122-1-122-1-1-122-1-1-1-1-1-1-122000200-1-1-1-100000
χ142222-12-122-1-122-1-1-122-1-1-1-1-1-1-1-2-2000-2001111000002222-12-122-1-122-1-1-122-1-1-1-1-1-1-1-2-2000-2001111000002222-12-122-1-122-1-1-122-1-1-1-1-1-1-1-2-2000-2001111000002222-12-122-1-122-1-1-122-1-1-1-1-1-1-1-2-2000-2001111000002222-12-122-1-122-1-1-122-1-1-1-1-1-1-1-2-2000-2001111000002222-12-122-1-122-1-1-122-1-1-1-1-1-1-1-2-2000-200111100000
χ152222-12-122-1-12-2-111-2-2-1-1-1111122000-200-1-111000002222-12-122-1-12-2-111-2-2-1-1-1111122000-200-1-111000002222-12-122-1-12-2-111-2-2-1-1-1111122000-200-1-111000002222-12-122-1-12-2-111-2-2-1-1-1111122000-200-1-111000002222-12-122-1-12-2-111-2-2-1-1-1111122000-200-1-111000002222-12-122-1-12-2-111-2-2-1-1-1111122000-200-1-11100000
χ162222-12-122-1-12-2-111-2-2-1-1-11111-2-200020011-1-1000002222-12-122-1-12-2-111-2-2-1-1-11111-2-200020011-1-1000002222-12-122-1-12-2-111-2-2-1-1-11111-2-200020011-1-1000002222-12-122-1-12-2-111-2-2-1-1-11111-2-200020011-1-1000002222-12-122-1-12-2-111-2-2-1-1-11111-2-200020011-1-1000002222-12-122-1-12-2-111-2-2-1-1-11111-2-200020011-1-100000
χ1722-2-222-22-22-2-20200002-2-20000000000000000002i−2i022-2-222-22-22-2-20200002-2-20000000000000000002i−2i022-2-222-22-22-2-20200002-2-20000000000000000002i−2i022-2-222-22-22-2-20200002-2-20000000000000000002i−2i022-2-222-22-22-2-20200002-2-20000000000000000002i−2i022-2-222-22-22-2-20200002-2-20000000000000000002i−2i0
χ1822-2-222-22-22-2-20200002-2-2000000000000000000−2i2i022-2-222-22-22-2-20200002-2-2000000000000000000−2i2i022-2-222-22-22-2-20200002-2-2000000000000000000−2i2i022-2-222-22-22-2-20200002-2-2000000000000000000−2i2i022-2-222-22-22-2-20200002-2-2000000000000000000−2i2i022-2-222-22-22-2-20200002-2-2000000000000000000−2i2i0
χ192-22-2222-22-2-2-2020000-22-200002i−2i0000002i−2i00000002-22-2222-22-2-2-2020000-22-200002i−2i0000002i−2i00000002-22-2222-22-2-2-2020000-22-200002i−2i0000002i−2i00000002-22-2222-22-2-2-2020000-22-200002i−2i0000002i−2i00000002-22-2222-22-2-2-2020000-22-200002i−2i0000002i−2i00000002-22-2222-22-2-2-2020000-22-200002i−2i0000002i−2i0000000
χ202-22-2222-22-2-2-2020000-22-20000−2i2i000000−2i2i00000002-22-2222-22-2-2-2020000-22-20000−2i2i000000−2i2i00000002-22-2222-22-2-2-2020000-22-20000−2i2i000000−2i2i00000002-22-2222-22-2-2-2020000-22-20000−2i2i000000−2i2i00000002-22-2222-22-2-2-2020000-22-20000−2i2i000000−2i2i00000002-22-2222-22-2-2-2020000-22-20000−2i2i000000−2i2i0000000
χ212-22-2-12-1-2211-20-1−i3i3001-11−i3−i3i3i32i−2i000000−ii3−3000002-22-2-12-1-2211-20-1−i3i3001-11−i3−i3i3i32i−2i000000−ii3−3000002-22-2-12-1-2211-20-1−i3i3001-11−i3−i3i3i32i−2i000000−ii3−3000002-22-2-12-1-2211-20-1−i3i3001-11−i3−i3i3i32i−2i000000−ii3−3000002-22-2-12-1-2211-20-1−i3i3001-11−i3−i3i3i32i−2i000000−ii3−3000002-22-2-12-1-2211-20-1−i3i3001-11−i3−i3i3i32i−2i000000−ii3−300000
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χ252-2-2222-2-2-2-222020000-2-220000002-2000000002-20002-2-2222-2-2-2-222020000-2-220000002-2000000002-20002-2-2222-2-2-2-222020000-2-220000002-2000000002-20002-2-2222-2-2-2-222020000-2-220000002-2000000002-20002-2-2222-2-2-2-222020000-2-220000002-2000000002-20002-2-2222-2-2-2-222020000-2-220000002-2000000002-2000
χ262-2-2222-2-2-2-222020000-2-22000000-2200000000-220002-2-2222-2-2-2-222020000-2-22000000-2200000000-220002-2-2222-2-2-2-222020000-2-22000000-2200000000-220002-2-2222-2-2-2-222020000-2-22000000-2200000000-220002-2-2222-2-2-2-222020000-2-22000000-2200000000-220002-2-2222-2-2-2-222020000-2-22000000-2200000000-22000
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χ324444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-100000000000000000
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χ44111111111111111111111111111-1-1-11-1-11111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32111111111111111111111111111-1-1-11-1-11111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
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χ48111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32
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χ5122222-12-1-122-12-122-1-1-1-1-1-1-1-1-1002220-1-10000-1-1000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i3−1+i301−i321−i3200001−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i3−1−i301+i321+i3200001+i321+i3200022222-12-1-122-12-122-1-1-1-1-1-1-1-1-1002220-1-10000-1-1000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i3−1+i301−i321−i3200001−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i3−1−i301+i321+i3200001+i321+i32000
χ5222222-12-1-122-12-122-1-1-1-1-1-1-1-1-100-2-2-2011000011000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i31−i30−1+i32−1+i320000−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i31+i30−1−i32−1−i320000−1−i32−1−i3200022222-12-1-122-12-122-1-1-1-1-1-1-1-1-100-2-2-2011000011000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i31−i30−1+i32−1+i320000−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i31+i30−1−i32−1−i320000−1−i32−1−i32000
χ5322222-12-1-122-1-2-1-2-211-1-1-111110022-20110000-1-1000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i31−i30−1+i32−1+i3200001−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i31+i30−1−i32−1−i3200001+i321+i3200022222-12-1-122-1-2-1-2-211-1-1-111110022-20110000-1-1000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i31−i30−1+i32−1+i3200001−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i31+i30−1−i32−1−i3200001+i321+i32000
χ5422222-12-1-122-1-2-1-2-211-1-1-1111100-2-220-1-1000011000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i3−1+i301−i321−i320000−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i3−1−i301+i321+i320000−1−i32−1−i3200022222-12-1-122-1-2-1-2-211-1-1-1111100-2-220-1-1000011000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i3−1+i301−i321−i320000−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i3−1−i301+i321+i320000−1−i32−1−i32000
χ552222-12-122-1-122-1-1-122-1-1-1-1-1-1-122000200-1-1-1-100000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3000−1+i3001−i321−i321−i321−i3200000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3000−1−i3001+i321+i321+i321+i32000002222-12-122-1-122-1-1-122-1-1-1-1-1-1-122000200-1-1-1-100000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3000−1+i3001−i321−i321−i321−i3200000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3000−1−i3001+i321+i321+i321+i3200000
χ562222-12-122-1-122-1-1-122-1-1-1-1-1-1-1-2-2000-200111100000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i30001−i300−1+i32−1+i32−1+i32−1+i3200000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i30001+i300−1−i32−1−i32−1−i32−1−i32000002222-12-122-1-122-1-1-122-1-1-1-1-1-1-1-2-2000-200111100000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i30001−i300−1+i32−1+i32−1+i32−1+i3200000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i30001+i300−1−i32−1−i32−1−i32−1−i3200000
χ572222-12-122-1-12-2-111-2-2-1-1-1111122000-200-1-11100000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i31−i32−1+i32−1+i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i30001−i3001−i321−i32−1+i32−1+i3200000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i31+i32−1−i32−1−i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i30001+i3001+i321+i32−1−i32−1−i32000002222-12-122-1-12-2-111-2-2-1-1-1111122000-200-1-11100000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i31−i32−1+i32−1+i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i30001−i3001−i321−i32−1+i32−1+i3200000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i31+i32−1−i32−1−i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i30001+i3001+i321+i32−1−i32−1−i3200000
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χ90111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32
χ91111111111111-11-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32111111111111-11-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ92111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ9322222-12-1-122-12-122-1-1-1-1-1-1-1-1-1002220-1-10000-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i3−1−i301+i321+i3200001+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i3−1+i301−i321−i3200001−i321−i3200022222-12-1-122-12-122-1-1-1-1-1-1-1-1-1002220-1-10000-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i3−1−i301+i321+i3200001+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i3−1+i301−i321−i3200001−i321−i32000
χ9422222-12-1-122-12-122-1-1-1-1-1-1-1-1-100-2-2-2011000011000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i31+i30−1−i32−1−i320000−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i31−i30−1+i32−1+i320000−1+i32−1+i3200022222-12-1-122-12-122-1-1-1-1-1-1-1-1-100-2-2-2011000011000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i31+i30−1−i32−1−i320000−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i31−i30−1+i32−1+i320000−1+i32−1+i32000
χ9522222-12-1-122-1-2-1-2-211-1-1-111110022-20110000-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i31+i30−1−i32−1−i3200001+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i31−i30−1+i32−1+i3200001−i321−i3200022222-12-1-122-1-2-1-2-211-1-1-111110022-20110000-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i31+i30−1−i32−1−i3200001+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i31−i30−1+i32−1+i3200001−i321−i32000
χ9622222-12-1-122-1-2-1-2-211-1-1-1111100-2-220-1-1000011000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i3−1−i301+i321+i320000−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i3−1+i301−i321−i320000−1+i32−1+i3200022222-12-1-122-1-2-1-2-211-1-1-1111100-2-220-1-1000011000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i3−1−i301+i321+i320000−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i3−1+i301−i321−i320000−1+i32−1+i32000
χ972222-12-122-1-122-1-1-122-1-1-1-1-1-1-122000200-1-1-1-100000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3000−1−i3001+i321+i321+i321+i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3000−1+i3001−i321−i321−i321−i32000002222-12-122-1-122-1-1-122-1-1-1-1-1-1-122000200-1-1-1-100000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3000−1−i3001+i321+i321+i321+i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3000−1+i3001−i321−i321−i321−i3200000
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χ128111111111111111111111111111-1-1-11-1-11111-1-1-1-1-1111111111111111111111111111-1-1-11-1-11111-1-1-1-1-1111111111111111111111111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-111111
χ1291111111111111111111111111-1-1111-111-1-1-1-111-1-1-11111111111111111111111111-1-1111-111-1-1-1-111-1-1-11111111111111111111111111-1-1111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-1111
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χ17822222-12-1-122-12-122-1-1-1-1-1-1-1-1-100-2-2-2011000011000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i31−i30−1+i32−1+i320000−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i31+i30−1−i32−1−i320000−1−i32−1−i32000-2-2-2-2-21-211-2-21-21-2-2111111111002220-1-10000-1-10001−i31−i31−i31−i31−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i3−1+i301−i321−i3200001−i321−i320001+i31+i31+i31+i31+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i3−1−i301+i321+i3200001+i321+i32000
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χ1812222-12-122-1-122-1-1-122-1-1-1-1-1-1-122000200-1-1-1-100000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3000−1+i3001−i321−i321−i321−i3200000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3000−1−i3001+i321+i321+i321+i3200000-2-2-2-21-21-2-211-2-2111-2-21111111-2-2000-2001111000001−i31−i31−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i30001−i300−1+i32−1+i32−1+i32−1+i32000001+i31+i31+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i30001+i300−1−i32−1−i32−1−i32−1−i3200000
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χ218111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-111111111-1-1-1-111-1-111-1-111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ21922222-12-1-122-12-122-1-1-1-1-1-1-1-1-1002220-1-10000-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i3−1−i301+i321+i3200001+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i3−1+i301−i321−i3200001−i321−i32000-2-2-2-2-21-211-2-21-21-2-211111111100-2-2-20110000110001+i31+i31+i31+i31+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32001+i31+i31+i30−1−i32−1−i320000−1−i32−1−i320001−i31−i31−i31−i31−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32001−i31−i31−i30−1+i32−1+i320000−1+i32−1+i32000
χ22022222-12-1-122-12-122-1-1-1-1-1-1-1-1-100-2-2-2011000011000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i31+i30−1−i32−1−i320000−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i31−i30−1+i32−1+i320000−1+i32−1+i32000-2-2-2-2-21-211-2-21-21-2-2111111111002220-1-10000-1-10001+i31+i31+i31+i31+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i3−1−i301+i321+i3200001+i321+i320001−i31−i31−i31−i31−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i3−1+i301−i321−i3200001−i321−i32000
χ22122222-12-1-122-1-2-1-2-211-1-1-111110022-20110000-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i31+i30−1−i32−1−i3200001+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i31−i30−1+i32−1+i3200001−i321−i32000-2-2-2-2-21-211-2-212122-1-1111-1-1-1-100-2-220-1-10000110001+i31+i31+i31+i31+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i3−1−i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i31+i3−1−i301+i321+i320000−1−i32−1−i320001−i31−i31−i31−i31−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i3−1+i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i31−i3−1+i301−i321−i320000−1+i32−1+i32000
χ22222222-12-1-122-1-2-1-2-211-1-1-1111100-2-220-1-1000011000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i31+i321+i31+i3−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i3−1−i301+i321+i320000−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i31−i321−i31−i3−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i3−1+i301−i321−i320000−1+i32−1+i32000-2-2-2-2-21-211-2-212122-1-1111-1-1-1-10022-20110000-1-10001+i31+i31+i31+i31+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i3−1−i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200−1−i3−1−i31+i30−1−i32−1−i3200001+i321+i320001−i31−i31−i31−i31−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i3−1+i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200−1+i3−1+i31−i30−1+i32−1+i3200001−i321−i32000
χ2232222-12-122-1-122-1-1-122-1-1-1-1-1-1-122000200-1-1-1-100000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3000−1−i3001+i321+i321+i321+i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3000−1+i3001−i321−i321−i321−i3200000-2-2-2-21-21-2-211-2-2111-2-21111111-2-2000-2001111000001+i31+i31+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i30001+i300−1−i32−1−i32−1−i32−1−i32000001−i31−i31−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i30001−i300−1+i32−1+i32−1+i32−1+i3200000
χ2242222-12-122-1-122-1-1-122-1-1-1-1-1-1-1-2-2000-200111100000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i30001+i300−1−i32−1−i32−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i30001−i300−1+i32−1+i32−1+i32−1+i3200000-2-2-2-21-21-2-211-2-2111-2-2111111122000200-1-1-1-1000001+i31+i31+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3000−1−i3001+i321+i321+i321+i32000001−i31−i31−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3000−1+i3001−i321−i321−i321−i3200000
χ2252222-12-122-1-12-2-111-2-2-1-1-1111122000-200-1-11100000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i31+i32−1−i32−1−i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i30001+i3001+i321+i32−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i31−i32−1+i32−1+i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i30001−i3001−i321−i32−1+i32−1+i3200000-2-2-2-21-21-2-211-221-1-122111-1-1-1-1-2-200020011-1-1000001+i31+i31+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i3−1−i3−1−i321+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i321+i321+i31+i3000−1−i300−1−i32−1−i321+i321+i32000001−i31−i31−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i3−1+i3−1+i321−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i321−i321−i31−i3000−1+i300−1+i32−1+i321−i321−i3200000
χ2262222-12-122-1-12-2-111-2-2-1-1-11111-2-200020011-1-100000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i31+i32−1−i32−1−i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i3000−1−i300−1−i32−1−i321+i321+i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i31−i32−1+i32−1+i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i3000−1+i300−1+i32−1+i321−i321−i3200000-2-2-2-21-21-2-211-221-1-122111-1-1-1-122000-200-1-111000001+i31+i31+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i3−1−i3−1−i321+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i3−1−i30001+i3001+i321+i32−1−i32−1−i32000001−i31−i31−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i3−1+i3−1+i321−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i3−1+i30001−i3001−i321−i32−1+i32−1+i3200000
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χ2514-4-44-2-22222-2-20100−2i32i3-1-11i3−i3i3−i300000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i30−1−i3200−3+i33−i31+i321+i32−1−i323−i32−3+i323−i32−3+i3200000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i30−1+i32003+i3−3−i31−i321−i32−1+i32−3−i323+i32−3−i323+i3200000000000000000-444-422-2-2-2-2220-1002i3−2i311-1−i3i3−i3i3000000000000000002+2i3−2−2i3−2−2i32+2i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i301+i32003−i3−3+i3−1−i32−1−i321+i32−3+i323−i32−3+i323−i32000000000000000002−2i3−2+2i3−2+2i32−2i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i301−i3200−3−i33+i3−1+i32−1+i321−i323+i32−3−i323+i32−3−i3200000000000000000
χ2524-4-44-2-22222-2-201002i3−2i3-1-11−i3i3−i3i300000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i30−1−i32003−i3−3+i31+i321+i32−1−i32−3+i323−i32−3+i323−i3200000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i30−1+i3200−3−i33+i31−i321−i32−1+i323+i32−3−i323+i32−3−i3200000000000000000-444-422-2-2-2-2220-100−2i32i311-1i3−i3i3−i3000000000000000002+2i3−2−2i3−2−2i32+2i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i301+i3200−3+i33−i3−1−i32−1−i321+i323−i32−3+i323−i32−3+i32000000000000000002−2i3−2+2i3−2+2i32−2i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i301−i32003+i3−3−i3−1+i32−1+i321−i32−3−i323+i32−3−i323+i3200000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.